Split extensions and semidirect products of unitary magmas
Category Theory
2020-03-20 v2 Rings and Algebras
Abstract
We develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivalence between the categories of split extensions and of (suitably defined) actions of unitary magmas on unitary magmas. The class of split extensions is pullback stable but not closed under composition. We introduce two subclasses of it that have both of these properties.
Cite
@article{arxiv.1906.02310,
title = {Split extensions and semidirect products of unitary magmas},
author = {Marino Gran and George Janelidze and Manuela Sobral},
journal= {arXiv preprint arXiv:1906.02310},
year = {2020}
}
Comments
15 pages